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Aug 26, 2010 at 21:44 vote accept L. J. P. Kilford
Aug 19, 2010 at 19:50 comment added Kevin Buzzard @Lloyd: as you well know, Maeda's conjecture is about the global field generated by the eigenvalues of a classical newform, but everywhere else in your question you seem to be talking/asking about the local field generated by the eigenvalues. What is happening is that a lot of small rational primes are decomposing into a large number of factors in Maeda's fields. Take for example $\mathbf{Q}(\sqrt{144169})$, the field generated by the level 1 weight 24 cusp forms. All of 2,3,5,7,11,13,17,19 are split in this field!
Aug 19, 2010 at 19:41 answer added user631 timeline score: 2
Aug 19, 2010 at 16:11 history asked L. J. P. Kilford CC BY-SA 2.5